Please use this identifier to cite or link to this item: http://hdl.handle.net/10603/334586
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dc.coverage.spatial
dc.date.accessioned2021-08-03T09:30:25Z-
dc.date.available2021-08-03T09:30:25Z-
dc.identifier.urihttp://hdl.handle.net/10603/334586-
dc.description.abstractThe thesis is concerned with linear and nonlinear Rayleigh-Bénard electroconvection in a horizontal porous layer. Modified Darcy law is employed to describe the fluid motion. The effect of non-classical heat conduction, chemical reaction, thermal radiation and finite amplitudes on the onset of Darcy electroconvection is considered. The findings of the problems investigated in the thesis may prove useful in heat transfer application situations with dielectric fluids as working medium. The summary of the problems addressed in the thesis is given below.Effect of non-classical heat conduction on Rayleigh-Bénard newlineconvection in a horizontal layer of porous medium saturated with a dielectric fluid The method of small perturbations is used to examine the effect of non-classical heat conduction on the onset of Darcy electroconvection. Exact solutions for both stationary and oscillatory instability are obtained and known results have been deduced as limiting cases of the present study. It is shown that electroconvective instability in a Darcy porous layer is hastened by increasing the strengths of second sound and electric newlineforces and that the presence of second sound and dielectrophoretic force leads to shorter wavelength electroconvection. Further, it is found that the effect of Vadasz number is to advance the onset of oscillatory Darcy newlineelectroconvection and oscillatory instability sets in before stationary convection provided that the Vadasz number and the Cattaneo number are sufficiently large. Rayleigh-Bénard convection in a horizontal layer of porous medium saturated with a chemically reacting dielectric fluid The problem of the effect of chemical reaction on the onset of Darcy electroconvection in a horizontal porous layer heated from below is newlineinvestigated. It is assumed that the fluid experiences a zero-order exothermic chemical reaction and that there exists a local thermal equilibrium between the fluid and the solid phases. newline
dc.format.extentxv, 160p.;
dc.languageEnglish
dc.relationMLA
dc.rightsuniversity
dc.titleLinear and nonlinear convection in dielectric fluids
dc.title.alternative
dc.creator.researcherNagouda, Smita S
dc.subject.keywordMathematics
dc.subject.keywordPhysical Sciences
dc.description.note
dc.contributor.guideMaruthamanikandan, S
dc.publisher.placeBangalore
dc.publisher.universityCHRIST University
dc.publisher.institutionDepartment of Mathematics and Statistics
dc.date.registered2010
dc.date.completed2014
dc.date.awarded2014
dc.format.dimensionsA4
dc.format.accompanyingmaterialNone
dc.source.universityUniversity
dc.type.degreePh.D.
Appears in Departments:Department of Mathematics and Statistics

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01_title.pdfAttached File218.92 kBAdobe PDFView/Open
02_certificate.pdf177.12 kBAdobe PDFView/Open
03_declaration.pdf166.9 kBAdobe PDFView/Open
04_acknowledgements.pdf114.69 kBAdobe PDFView/Open
05_abstract.pdf142.4 kBAdobe PDFView/Open
06_table_of_contents.pdf85.78 kBAdobe PDFView/Open
07_list_of_symbols.pdf60.1 kBAdobe PDFView/Open
08_list_of_figures.pdf57.61 kBAdobe PDFView/Open
09_list_of_tables.pdf36.31 kBAdobe PDFView/Open
10_chapter1.pdf564.09 kBAdobe PDFView/Open
11_chapter2.pdf1.69 MBAdobe PDFView/Open
12_chapter3.pdf821.04 kBAdobe PDFView/Open
13_chapter4.pdf797.22 kBAdobe PDFView/Open
14_chapter5.pdf654.92 kBAdobe PDFView/Open
15_chapter6.pdf750.25 kBAdobe PDFView/Open
16_chapter7.pdf702.53 kBAdobe PDFView/Open
17_chapter8.pdf662.7 kBAdobe PDFView/Open
18_bibliography.pdf1.01 MBAdobe PDFView/Open
19_research_paper_presentations.pdf48.21 kBAdobe PDFView/Open
20_research_paper_publications.pdf21.3 kBAdobe PDFView/Open
80_recommendation.pdf878.18 kBAdobe PDFView/Open


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